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Finding the Fourth Proportional to 138,830.40, 194,953.05 and 138,830.40

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Solution

The fourth proportional to 138,830.40, 194,953.05 and 138,830.40 is: 194,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.40 : 194,953.05 = 138,830.40 : x
  2. Step 2: Convert to fraction form
    138,830.40/194,953.05 = 138,830.40/x
  3. Step 3: Cross multiply
    138,830.40x = 194,953.05 × 138,830.40
  4. Step 4: Simplify right side
    138,830.40x = 27,065,409,912.72
  5. Step 5: Solve for x
    x = 27,065,409,912.72/138,830.40
  6. Step 6: Final answer
    x = 194,953.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.